Results 61 to 70 of about 202,312 (273)
A Multiscale Guide to Brownian Motion
, 2015 We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based "geometrical features" at ...
Beliaev, Dmitry +2 more
core +1 more source
Advanced Healthcare Materials, EarlyView.Wound closure is governed by geometry‐orientation coupling: aligned fibers speed migration along their axis but hinder perpendicular advance. In vivo diabetic wound experiments with composition‐matched fibrin, combined with an anisotropic diffusion (biased random‐walk) model, quantify this trade‐off and generate a healing landscape.
Yin‐Yuan Huang +13 more
wiley +1 more source
All‐Optical Reconfigurable Physical Unclonable Function for Sustainable Security
Advanced Materials, EarlyView.An all‐optical reconfigurable physical unclonable function (PUF) is demonstrated using plasmonic coupling–induced sintering of optically trapped gold nanoparticles, where Brownian motion serves as a robust entropy source. The resulting optical PUF exhibits high encoding density, strong resistance to modeling attacks, and practical authentication ...
Jang‐Kyun Kwak +4 more
wiley +1 more source
The three kinds of brownian motion
Moldavian Journal of the Physical Sciences, 2015 In addition to the Brownian motion of a small particle in the air and the Brownian motion of a resonator, a third and new kind is proposed; it is referred to as the "coherent Brownian motion" and represents the permanent in-phase Brownian motions of an ...
Rattinacannou, J.
doaj
Fractal and FractionalTempered fractional Brownian motion (TFBM) and tempered fractional Brownian motion of the second kind (TFBMII) modify the power-law kernel in the moving average representation of fractional Brownian motion by introducing exponential tempering.
Yuliya Mishura, Kostiantyn Ralchenko
doaj +1 more source
Fake Exponential Brownian Motion [PDF]
, 2012 We construct a fake exponential Brownian motion, a continuous martingale different from classical exponential Brownian motion but with the same marginal distributions, thus extending results of Albin and Oleszkiewicz for fake Brownian motions.
Hobson, David G
core
, 2016 We construct a stochastic process, called the Liouville Brownian motion, which is the Brownian motion associated to the metric $e^{\gamma X(z)}\,dz^2 ...
Garban, Christophe +2 more
core +1 more source
Plasmonic Nanomachines: Creating Local Potential Gradients and Motions
Advanced Materials, EarlyView.Plasmonic nanomachines can generate optical, thermal, and chemical potential gradients to drive directional rectilinear, rotational, and twisting motions at the nanometer scale. The integration of multimodal plasmonic forces with functional materials and programmed structural distortions enables precise spatiotemporal actuation, thereby providing a ...
Yoonhee Kim +3 more
wiley +1 more source
Frequency–frequency correlations of single-trajectory spectral densities of Gaussian processes
New Journal of Physics, 2022 We investigate the stochastic behavior of the single-trajectory spectral density $S(\omega ,\mathcal{T})$ of several Gaussian stochastic processes, i.e., Brownian motion, the Ornstein–Uhlenbeck process, the Brownian gyrator model and fractional Brownian ...
Alessio Squarcini +4 more
doaj +1 more source
Fractional Brownian fields, duality, and martingales
, 2006 In this paper the whole family of fractional Brownian motions is constructed as a single Gaussian field indexed by time and the Hurst index simultaneously. The field has a simple covariance structure and it is related to two generalizations of fractional
Dobrić, Vladimir, Ojeda, Francisco M.
core +2 more sources